1.

A shopkeeper decides to sell a certain item at a certain price. He marks the price of the item, by increasing the decided price by 30%. While selling the item, he offers 20% discount.Find how many percent he gets more on the decided price.

Answer»

Let decided PRICE be x
then,

x \times \frac{130}{100} = mrp \\ discount \: = \: 20\% \\ so. \\ \frac{130x}{100} \times \frac{100}{80} = \frac{13x}{8} = \frac{13}{8} x

Now,
he sold that item at ₹ 13/8 x.

And we KNOW that,

<klux>PROFIT</klux> \: = \: sp \: - \: cp \\ profit \: = \\ = \: \frac{13x}{8} - x \\ = \frac{13x - 8x}{8} \\ = \frac{5x}{8} \\ profit \: = \: \frac{5x}{8}

Profit % =
= \frac{profit}{cp} \times 100 \\ = \frac{ \frac{5x}{8} }{x} \times 100 \\ = \frac{5x}{8x} \times 100 \\ = \frac{5}{8} \times 100 \\ = 2.5 \times 5 \\ = 12.5\%
•••••

12.5 % he GETS more on the decided price.

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